TSTP Solution File: GEO218+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 05:03:50 EDT 2022

% Result   : Theorem 0.36s 1.41s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 18:20:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.36/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.42  
% 0.36/1.42  %-----------------------------------------------------
% 0.36/1.42  fof(con, conjecture, ! [_22560, _22563, _22566] : (~ convergent_lines(_22560, _22563) & ~ unorthogonal_lines(_22560, _22566) => ~ unorthogonal_lines(_22563, _22566)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.36/1.42  fof(coipo1, axiom, ! [_22788, _22791] : ~ (~ convergent_lines(_22788, _22791) & ~ unorthogonal_lines(_22788, _22791)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', coipo1)).
% 0.36/1.42  fof(couo1, axiom, ! [_22955, _22958, _22961] : (~ unorthogonal_lines(_22955, _22958) & ~ unorthogonal_lines(_22955, _22961) => ~ convergent_lines(_22958, _22961)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', couo1)).
% 0.36/1.42  fof(cotno1, axiom, ! [_23162, _23165, _23168] : ((~ convergent_lines(_23162, _23165) | ~ unorthogonal_lines(_23162, _23165)) & (~ convergent_lines(_23162, _23168) | ~ unorthogonal_lines(_23162, _23168)) => ~ convergent_lines(_23165, _23168) | ~ unorthogonal_lines(_23165, _23168)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 0.36/1.42  fof(ax6, axiom, ! [_23480, _23483, _23486] : (convergent_lines(_23480, _23483) => convergent_lines(_23480, _23486) | convergent_lines(_23483, _23486)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.36/1.42  
% 0.36/1.42  cnf(1, plain, [convergent_lines(1 ^ [], 2 ^ [])], clausify(con)).
% 0.36/1.42  cnf(2, plain, [unorthogonal_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 0.36/1.42  cnf(3, plain, [-(unorthogonal_lines(2 ^ [], 3 ^ []))], clausify(con)).
% 0.36/1.42  cnf(4, plain, [-(convergent_lines(_13213, _13264)), -(unorthogonal_lines(_13213, _13264))], clausify(coipo1)).
% 0.36/1.42  cnf(5, plain, [convergent_lines(_14510, _14571), -(unorthogonal_lines(_14448, _14510)), -(unorthogonal_lines(_14448, _14571))], clausify(couo1)).
% 0.36/1.42  cnf(6, plain, [-(unorthogonal_lines(_13583, _13754)), -(convergent_lines(_13583, _13669)), convergent_lines(_13669, _13754), unorthogonal_lines(_13669, _13754)], clausify(cotno1)).
% 0.36/1.42  cnf(7, plain, [convergent_lines(_8827, _8883), -(convergent_lines(_8827, _8938)), -(convergent_lines(_8883, _8938))], clausify(ax6)).
% 0.36/1.42  
% 0.36/1.42  cnf('1',plain,[convergent_lines(1 ^ [], 2 ^ [])],start(1)).
% 0.36/1.42  cnf('1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(3 ^ [], 2 ^ []))],extension(7,bind([[_8827, _8883, _8938], [1 ^ [], 3 ^ [], 2 ^ []]]))).
% 0.36/1.42  cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), -(unorthogonal_lines(1 ^ [], 3 ^ []))],extension(4,bind([[_13213, _13264], [1 ^ [], 3 ^ []]]))).
% 0.36/1.42  cnf('1.1.1.1',plain,[unorthogonal_lines(1 ^ [], 3 ^ [])],extension(2)).
% 0.36/1.42  cnf('1.1.2',plain,[convergent_lines(3 ^ [], 2 ^ []), -(convergent_lines(3 ^ [], 3 ^ [])), -(convergent_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_8827, _8883, _8938], [3 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.36/1.42  cnf('1.1.2.1',plain,[convergent_lines(3 ^ [], 3 ^ []), -(unorthogonal_lines(1 ^ [], 3 ^ [])), -(unorthogonal_lines(1 ^ [], 3 ^ []))],extension(5,bind([[_14510, _14448, _14571], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.36/1.42  cnf('1.1.2.1.1',plain,[unorthogonal_lines(1 ^ [], 3 ^ [])],extension(2)).
% 0.36/1.42  cnf('1.1.2.1.2',plain,[unorthogonal_lines(1 ^ [], 3 ^ [])],extension(2)).
% 0.36/1.42  cnf('1.1.2.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(unorthogonal_lines(1 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 2 ^ [])), unorthogonal_lines(2 ^ [], 3 ^ [])],extension(6,bind([[_13583, _13669, _13754], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.36/1.42  cnf('1.1.2.2.1',plain,[unorthogonal_lines(1 ^ [], 3 ^ [])],extension(2)).
% 0.36/1.42  cnf('1.1.2.2.2',plain,[convergent_lines(1 ^ [], 2 ^ [])],extension(1)).
% 0.36/1.42  cnf('1.1.2.2.3',plain,[-(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(3)).
% 0.36/1.42  %-----------------------------------------------------
% 0.36/1.42  
% 0.36/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------